Question 116695


{{{4(a-2)-6a<-9}}} Start with the given inequality




{{{4a-8-6a<-9}}} Distribute



{{{-2a-8<-9}}} Combine like terms on the left side



{{{-2a<-9+8}}}Add 8 to both sides



{{{-2a<-1}}} Combine like terms on the right side



{{{a>(-1)/(-2)}}} Divide both sides by -2 to isolate a  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{a>1/2}}} Reduce


--------------------------------------------------------------

Answer:

So our answer is {{{a>1/2}}}  (which is approximately {{{a>0.5}}} in decimal form)